Evaluate the expression 3.8 +0+ y for the given values of y value value of expression -4.3 -1.6 0 5.2 -0.5
1 answer:
The answers are -0.5, 2.2, 3.8, and 9.0
We need to evaluate the expression 3.8 + 0 + y for the given values of y.
Let x = 3.8 + 0 + y
The values of y are -4.3, -1.6, 0, and 5.2
Let's substitute the value of y in the expression and calculate the values of x.
- When y = -4.3, x = 3.8 + 0 + (-4.3) = 3.8 - 4.3 = -0.5
- When y = -1.6, x = 3.8 + 0 + (-1.6) = 3.8 - 1.6 = 2.2
- When y = 0, x = 3.8 + 0 + 0 = 3.8
- When y = 5.2, x = 3.8 + 0 + 5.2 = 3.8 + 5.2 = 9.0
Refer to the attached image for the values of the expression corresponding to the values of y.
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Answer:
148°
Step-by-step explanation:
The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.
arc QN = 2(74°) = 148°
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<em>Comment on the question and answer</em>
Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.
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We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.
